On mean central limit theorems for stationary sequences

Details On mean central limit theorems for stationary sequences On mean central limit theorems for stationary sequences

2008-08-22

arxiv.org/abs/0808.3048v1

Annales de l'Institut Henri Poincar\'e - Probabilit\'es et Statistiques 2008, Vol. 44, No. 4, 693-726

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/07-AIHP117 the Annales de l'Institut Henri Poincar\'e - Probabilit\'es et Statistiqu

Scientific paper

10.1214/07-AIHP117

In this paper, we give estimates of the minimal ${\mathbb{L}}^1$ distance
between the distribution of the normalized partial sum and the limiting
Gaussian distribution for stationary sequences satisfying projective criteria
in the style of Gordin or weak dependence conditions.

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